What is (sqrt(2q)+sqrt(r))^{2/3} ?

The solution to (sqrt(2q)+sqrt(r))^{2/3} is (2^{1/2}q^{1/2}+sqrt(r))^{2/3}

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simplify (sqrt(2q)+sqrt(r))^{2/3}

simplify

(2 q + r)^{\frac{2}{3}}

(2^{\frac{1}{2}} q^{\frac{1}{2}} + r)^{\frac{2}{3}}

Solution steps

(2 q + r)^{\frac{2}{3}}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

= (2^{\frac{1}{2}} q^{\frac{1}{2}} + r)^{\frac{2}{3}}

sec^{2} (θ) - 1

(- 3 x^{2} + 2 y)^{5}

12 X + 4 (6 - (3 X + 2))

\frac{1 + i}{1 - \frac{1 + i}{1 - \frac{1 + i}{1 - i}}}

\frac{1}{p ^{2} - q ^{2}} \cdot \frac{p + q}{p}

What is (sqrt(2q)+sqrt(r))^{2/3} ?
The solution to (sqrt(2q)+sqrt(r))^{2/3} is (2^{1/2}q^{1/2}+sqrt(r))^{2/3}